The revenue from selling x tickets to a concert is the represented by the function r(x)=10x. The cost for buying tickets is represented by the function c(x) = 8x+40. The profit made from selling the tickets is represented by the function p(x) = r(x) - c(x). What is p(100)? *
Step-by-step explanation:
All these fancy terms is confusing. We just need to substitute the original equations into the final problem statement.
[tex]p(x) = 10x - (8x+40) = 10x - 8x - 40[/tex]
We can then substitute 100 for x and solve.
[tex]p(100) = 10(100) - 8(100) - 40[/tex]
Hi, I need help with the EXPLANATION of this question. I have the right answer, but I am unsure why. 50 POINTS
Step-by-step explanation:
Using Pythagoras' Theorem, we have
x² + 10² = (12√3)²
Therefore x² = (12√3)² - 10²
= (144)(3) - (100) = 332.
=> x = √332 = 2√83. (B)
a(1)=−13
a(n)=a(n−1)+4
find the 2nd term in the sequence
Answer:
n=2
a(2)= -13(2-1)+4
a(2) = -13(1)+4
= -13+4
= -9
I am three years younger than my brother and I am two years older than my sister my mom's age is 1 less than three times my brothers age when you add all these ages up you get 87 what are our ages
Answer:my age = 13years,My brother's age =16years,My sister's age=11years,my mom's age =47years
Step-by-step explanation:
Step 1
Let my age be represented as x
My brother's age be represented as x+3
My sister's age =x-2
and my mum's age be 3(x+3)-1 with the total of all our ages = 87 Giving us the equation
x+ x+3+ x-2+ 3(x+3)-1 = 87
Step 2 ---Solving
x+ x+3+ x-2+ 3(x+3)-1 = 87
x+ x+3+ x-2+ 3x+9 -1 = 87
6x + 9= 87
6x= 87-9
6x= 78
x =78/6 = 13
Therefore my age = 13years
My brother's age = x+ 3 = 13+3= 16years
My sister's age = x-2 =13-2 = 11years
my mom's age = 3(x+3)-1= 3(13+ 3)- 1= 3 x 16 - 1 = 47years
A right triangle has legs of lengths 24 and 23 inches. Find the length of
the hypotenuse (nearest tenth).
label required
Answer:
33.2
Step-by-step explanation:
24²+²23²=1105
Square root of 33.2415
=33.2
I’m supposed to be graphing systems of equations. Can someone explain what to do?
Answer: x=-1, y= -3
Step-by-step explanation:
1.substitute y for -3
[2x-(-3)=1]
2.simplify
[2x+3=1]
3. Isolate x for 2x+3
x= -1,y=-3
So, I need to find out, how long one of the side lengths of the orange square is. the square is in the semicircle. you do not have any numbers given, and should use just letters.
thanks in Advance
Answer:
Assuming the square and the semicircle aren't merged somehow, and we need to calculate their full area, we should take into account:
Area of a square:
(Side length)² = 22² = 484 square inches
Area of a circle with a diameter of 22inch:
3'14 · (radius)² = 3'14 · 11² = 379'94 square inches
Since we have half a circle, the total areas to add will be:
1/2 · 379'94 + 484 = 673'97
Step-by-step explanation:
The parabola in the figure below has an equation of the form
y = ax^2 + bx - 4.
Find the equation of the parabola
Answer:
y = - x² + 5x - 4
Step-by-step explanation:
Given that the zeros are x = 1 and x = 4 , then the corresponding factors are
(x - 1) and (x - 4) , then
y = a(x - 1)(x - 4) ← a is a multiplier
= a(x² - 5x + 4)
To find a substitute the coordinates of any other point on the parabola into the equation.
Using (2, 2), then
2 = a(4 - 10 + 4) = - 2a ( divide both sides by - 2 )
a = - 1
Thus
y = - (x² - 5x + 4) = - x² + 5x - 4 ( with a = - 1 and b = 5 )
Complete this table
3°
3
32
38
34
35
36
1
3
9
27
729
3⁴= 3×3×3×3= 81
3⁵= 3×3×3×3×3= 243
hope it helps! please mark me brainliest
thank you!! have a good day ahead..
Answer:
this is 3⁴= 81 and 3⁵= 243
Is x = 6 a solution to the equation x + 13 = 18?
O A. Yes, because 6 +13 = 18 is true.
O B. No, because 6 + 13 = 18 is true.
C. No, because 6 + 13 = 18 is not true.
D. Yes, because 6 + 13 = 18 is not true.
x = 6 is not a solution to the equation x + 13 = 18.
Hence, Option C) No, because 6 + 13 = 18 is not true. is the correct answer.
Is x = 6 a solution to the equation x + 13 = 18?Given the equation; x + 13 = 18.
We plug x = 6 into the equation
x + 13 = 18
6 + 13 ≠ 18
6 + 13 is not 18
x = 6 is not a solution to the equation x + 13 = 18.
Hence, Option C) No, because 6 + 13 = 18 is not true. is the correct answer.
Learn more about equations here: brainly.com/question/14686792
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1/4 divided by 1/13 please help !
Answer:
13/4
Step-by-step explanation:
We do reciprocal of 1/13 it will be 13/1 after we multiply last answer 13/4
Answer:
3 1/4
Step-by-step explanation:
[tex] \frac{1}{4} \div \frac{1}{13} \\ \\ = \frac{1}{4} \times \frac{13}{1} \\ \\ = \frac{1 \times 13}{4 \times 1} \\ \\ = \frac{13}{4} \\ \\ = 3 \frac{1}{4} \\ [/tex]
Evaluate 3m - 5 when m=9
Thank you!!’
pls help me and hve a nice day ;p
Step-by-step explanation:
km²
make it braintliest please
Dwight is selling flowers and candles for a school fundraiser. Flowers, x, sell for $7 for a bouquet, and candles, y, sell for $5. each. If he wants to sell at least $200 worth of flowers and candles, which inequality represents the situation where he sells x flowers and y candles?
A: 7x + 5y 200
C: 7x + 5y ≤ 200
D: 7x + 5y ≥ 200
Please explain why the right answer choice is correct. Thanks.
Answer:
D: 7x + 5y ≥ 200
Step-by-step explanation:
If flowers sell for $7 and candles sell for $5, we can write those as 7x and 5y. Now, our inequality is 7x + 5y __. The words "at least" can translate to greater than or equal to. The symbol for that is ≥. Now, he wants to sell at least $200 worth of goods. That means we can write our inequality as 7x + 5y ≥ 200.
Is 43/96 a rational number 
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
and
5(3x+4) -2x = 7x -3(-2x+11)
Answer:
For the first problem the answer is x=4
The second Problem the answer is no solutions
Step-by-step explanation:
7x−(3x+5)−8=1/2 (8x+20)−7x+5
7x+−3x+−5+−8=1/2(8x) +(1/2) (20)+−7x+5(Distribute)
7x+−3x+−5+−8=4x+10+−7x+5
(7x+−3x)+(−5+−8)=(4x+−7x)+(10+5)(Combine Like Terms)
4x+−13=−3x+15
4x−13=−3x+15
Step 2: Add 3x to both sides.
4x−13+3x=−3x+15+3x
7x−13=15
Add 13 to both sides.
7x−13+13=15+13
7x=28 Divide both sides by 7.
x=4
5(3x+4) -2x = 7x -3(-2x+11)
Simplify both sides of the equation.
5(3x+4)−2x=7x−3(−2x+11)
(5)(3x)+(5)(4)+−2x=7x+(−3)(−2x)+(−3)(11)(Distribute)
15x+20+−2x=7x+6x+−33
(15x+−2x)+(20)=(7x+6x)+(−33)(Combine Like Terms)
13x+20=13x+−33
13x+20=13x−33
Subtract 13x from both sides.
13x+20−13x=13x−33−13x
20=−33
Step 3: Subtract 20 from both sides.
20−20=−33−20
0=−53
There are no solutions.
Answer:
Step-by-step explanation:
7x-(3x+5)-8 = (1/2)*(8x+20) -7x +5
1. Distributive Property
7x - 3x - 5 - 8 = 4x + 20 - 7x + 5
2. Combine like terms
4x -13 = -3x + 25
3. Add 13 on both sides
4x -13 + 13 = -3x + 25 + 13
4x = -3x + 38
4. Add 3x on both sides
4x + 3x = -3x + 3x + 38
7x = 38
5. Divide by 7 on both sides
7x / 7= 38 / 7
x = 5.428571428571429
or
x = 5.4
__________________________________________________________
5(3x+4) -2x = 7x -3(-2x+11)
1. Distributive Property
15x + 20 - 2x = 7x + 6x - 33
2. Combine like terms
13x + 20 = 13x - 33
3. Subtract 20 on both sides
13x + 20 - 20 = 13x - 33 - 20
13x = 13x - 53
4. Subtract 13x on both sides
13x - 13x = 13x - 13x - 53
0 = -53 ( there is no answer for x)
Hope this helped!!!!
If TRAP is an isosceles trapezoid, what is the value of X?
A. 6
B. 32
C. 28
D. 22
E. 15
F. Cannot be determined
Please help. Will give brain!!
Answer: I believe it's 5 I am not sure
Step-by-step explanation:
On average, Shawnee drinks 1/2 of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?
Answer:
1/2 of 6 = (1/2)*6 = 0.5*6 = 3
Shawnte drinks 3 ounces of water in 2/3 hrs.
3 oz = 2/3 hr
3*(3 oz) = 3*(2/3 hr) .... multiply both sides by 3
9 oz = 2 hrs
She drinks 9 ounces of water in 2 hrs
9/2 oz = 2/2 hrs .... divide both sides by 2
4.5 oz = 1 hr
She drinks 4.5 ounces of water in 1 hour.
There are 68 female teachers and 29 male teachers at Josie's high school. What is the ratio of the number of female teachers to the total number of teachers?
97:68
29:68
97:87
68:97
Not that hard but I did end up confusing myself.
if anyone answer this question correctly will get 100 points and a marked brainllest at 1:02 just add me and answer below and its yours.
Answer:
okk thanks for free points
.............
Answer:
1. -2
2. -3
3.
a. 155x+375 >= 900
b. x>=3.38709677. or technically >=4 because you get payed at the end of a week?
Step-by-step explanation:
1. (y-y)/)x-x)
2. same thing
3 a. 155 is the rate, 375 is the starting value
b. subtract 375, divide by 155
Parallel lines j and k are cut by transvesal t . Which statement is true about ∠2 and ∠6
Answer:
They both equal
Step-by-step explanation:
The statement is true about ∠2 and ∠6 is corresponding angles.
What is line?A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.
Given:
Parallel lines j and k are cut by transversal t .
We have to find statement is true about ∠2 and ∠6.
According to given question we have
Parallel lines j and k are cut by transversal t .
So,
∠2 = ∠6 ( corresponding angles)
∠1 = ∠5 ( corresponding angles)
Therefore, the statement is true about ∠2 and ∠6 is corresponding angles.
Learn more details about line here:
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There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club? One-third One-half Two-thirds StartFraction 3 Over 1 EndFraction
Answer:
1:3
Step-by-step explanation:
Given that,
Total no. of boys = 5
Total no. of girls = 10
We need to find the ratio of the number of boys in the club to the total number of students in the club.
Total no. of students = no. of girls + no. of boys
= 5 +10
= 15
Ratio,
[tex]R=\dfrac{5}{15}\\\\=\dfrac{1}{3}[/tex]
Hence, the required ratio is 1/3 or one third.
Answer:
1/3
Step-by-step explanation:
which pair of angles are alternate exterior angles
<1 and <5
<3 and <6
<5 and <8
<1 and <8
Answer:
<1 and <8
Step-by-step explanation:
<1 and <8 are alternate angles and has same measurement.
Alex can walk 6 miles every 2 hours. How far can he walk in 11 hours?
Answer:
33
Step-by-step explanation:
divide round and nearest hundredths place 4.05 / 0.07
Answer:
divide round and nearest hundredths place 4.05 / 0.07 the answer would be:
57.86
Np.
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⚠️⚠️HURRY⚠️⚠️
⚠️⚠️WILL GIVE 10 BRAINLYY⚠️⚠️
Answer:
side 'c' is the hypotenuse
side 'c' is the longest
sides 'a' and 'b' are both considered 'legs'
side 'c' is opposite the right angle
Step-by-step explanation:
the hypotenuse is always opposite the right angle
the hypotenuse is always the longest side
Answer:
■ The hypotenuse is c, or in other words, the diagonal.
■ The longest side is c, or in other words, the hypotenuse.
■ The side that is a leg includes both a & b.
■ The side that is opposite the right angle is c, or in other words, the hypotenuse.
Find The are of the shaded region
Answer:
the one you have highlighted is correct
Step-by-step explanation:
Can someone please answer my question? i have been working on school work all day.
here is 30 points just please answer all my questions that i post and i will give more
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses.
b. 2x - 7 and the opposite of 2x
Answer:
-70x
Step-by-step explanation:
Find the total amount given the original price and tax rate. Round to the nearest cent if necessary.
$15.25,7%
Given:
Original price = $15.25
Tax rate = 7%
To find:
The total amount.
Solution:
We know that,
Total amount = Original price + Tax
According to the question,
Total amount = 15.25 + 7% of 15.25
[tex]\text{Total amount}=15.25+\dfrac{7}{100}\times 15.25[/tex]
[tex]\text{Total amount}=15.25+1.0675[/tex]
[tex]\text{Total amount}=16.3175[/tex]
Round to the nearest cent (two decimal places).
[tex]\text{Total amount}\approx 16.32[/tex]
Therefore, the total value is $16.32.